The point 3/4 of the way from A(-4,- 7) to B(12, 5)

The coordinates of C are (8,2)

Step-by-step explanation:

We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.

This means that:

where dAC is the distance from A to C and dAB is the distance from A to B.

The same proportion of the distances is satisfied by the coordinates of the point C, that is:

Adding xA:

Similarily:

Calculating:

x = 8

y = 2

The coordinates of C are (8,2)

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0